Abstract
The binding energies of the nuclear three and four-body problems are calculated using a variational method with hard-core central potentials of various core radii, which fit the two-nucleon low-energy scattering data. Both the upper and the lower bound are computed. The results show that when the core radius has a value between 0.35 and 0.55 fm, reasonable agreement with experimental data on the binding energies and rms radii of the triton and the alpha particle, and the Coulomb energy of He 3 can be obtained.
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